Sulakashna; Barman, Rupam Certain transformations and values of \(p\)-adic hypergeometric functions. (English) Zbl 1523.33010 Res. Number Theory 8, No. 4, Paper No. 93, 14 p. (2022). MSC: 33E50 11S80 11T24 PDFBibTeX XMLCite \textit{Sulakashna} and \textit{R. Barman}, Res. Number Theory 8, No. 4, Paper No. 93, 14 p. (2022; Zbl 1523.33010) Full Text: DOI arXiv
Otsubo, Noriyuki; Senoue, Takato Product formulas for hypergeometric functions over finite fields. (English) Zbl 1523.11224 Res. Number Theory 8, No. 4, Paper No. 80, 12 p. (2022). Reviewer: Lalit Mohan Upadhyaya (Dehradun) MSC: 11T24 11L05 33C05 33C20 PDFBibTeX XMLCite \textit{N. Otsubo} and \textit{T. Senoue}, Res. Number Theory 8, No. 4, Paper No. 80, 12 p. (2022; Zbl 1523.11224) Full Text: DOI arXiv
Jana, Arijit; Kalita, Gautam Supercongruences motivated by some generalized Van Hamme type supercongruences. (English) Zbl 1497.11010 Res. Number Theory 8, No. 3, Paper No. 54, 11 p. (2022). MSC: 11A07 33B15 33C20 33E50 PDFBibTeX XMLCite \textit{A. Jana} and \textit{G. Kalita}, Res. Number Theory 8, No. 3, Paper No. 54, 11 p. (2022; Zbl 1497.11010) Full Text: DOI
Lovejoy, Jeremy Bailey pairs and indefinite quadratic forms. II: False indefinite theta functions. (English) Zbl 1490.11051 Res. Number Theory 8, No. 2, Paper No. 24, 16 p. (2022). Reviewer: Meinhard Peters (Münster) MSC: 11F27 33D15 11E12 PDFBibTeX XMLCite \textit{J. Lovejoy}, Res. Number Theory 8, No. 2, Paper No. 24, 16 p. (2022; Zbl 1490.11051) Full Text: DOI
Folsom, Amanda; Pratt, Elizabeth; Solomon, Noah; Tawfeek, Andrew R. Quantum Jacobi forms and sums of tails identities. (English) Zbl 1491.11051 Res. Number Theory 8, No. 1, Paper No. 8, 24 p. (2022). Reviewer: Larry Rolen (Dublin) MSC: 11F50 11F99 PDFBibTeX XMLCite \textit{A. Folsom} et al., Res. Number Theory 8, No. 1, Paper No. 8, 24 p. (2022; Zbl 1491.11051) Full Text: DOI
El Bachraoui, Mohamed On the vanishing of some mock theta functions at odd roots of unity. (English) Zbl 1477.11075 Res. Number Theory 7, No. 3, Paper No. 50, 15 p. (2021). MSC: 11F27 33D15 05A10 PDFBibTeX XMLCite \textit{M. El Bachraoui}, Res. Number Theory 7, No. 3, Paper No. 50, 15 p. (2021; Zbl 1477.11075) Full Text: DOI arXiv
Chetry, Arjun Singh; Jana, Arijit; Kalita, Gautam Proof of a supercongruence conjecture of He. (English) Zbl 1472.11010 Res. Number Theory 7, No. 2, Paper No. 21, 8 p. (2021). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11A07 11S80 33B15 33C20 PDFBibTeX XMLCite \textit{A. S. Chetry} et al., Res. Number Theory 7, No. 2, Paper No. 21, 8 p. (2021; Zbl 1472.11010) Full Text: DOI
Tripathi, Mohit; Barman, Rupam Certain product formulas and values of Gaussian hypergeometric series. (English) Zbl 1467.33004 Res. Number Theory 6, No. 3, Paper No. 26, 29 p. (2020). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C05 11T24 33C20 PDFBibTeX XMLCite \textit{M. Tripathi} and \textit{R. Barman}, Res. Number Theory 6, No. 3, Paper No. 26, 29 p. (2020; Zbl 1467.33004) Full Text: DOI arXiv
Franc, Cameron; Gill, Brandon; Goertzen, Jason; Pas, Jarrod; Tu, Frankie Densities of bounded primes for hypergeometric series with rational parameters. (English) Zbl 1455.11126 Res. Number Theory 6, No. 2, Paper No. 19, 14 p. (2020). MSC: 11N05 11R45 33C05 11N69 PDFBibTeX XMLCite \textit{C. Franc} et al., Res. Number Theory 6, No. 2, Paper No. 19, 14 p. (2020; Zbl 1455.11126) Full Text: DOI arXiv
Ito, Ryojun The special values of \(L\)-functions at \(s=1\) of theta products of weight 3. (English) Zbl 1472.11155 Res. Number Theory 5, No. 4, Paper No. 30, 8 p. (2019). MSC: 11F67 11F27 33C20 PDFBibTeX XMLCite \textit{R. Ito}, Res. Number Theory 5, No. 4, Paper No. 30, 8 p. (2019; Zbl 1472.11155) Full Text: DOI arXiv
Tripathi, Mohit; Barman, Rupam A finite field analogue of the Appell series \(F_4\). (English) Zbl 1428.33028 Res. Number Theory 4, No. 3, Paper No. 35, 23 p. (2018). Reviewer: József Sándor (Cluj-Napoca) MSC: 33C65 11T24 PDFBibTeX XMLCite \textit{M. Tripathi} and \textit{R. Barman}, Res. Number Theory 4, No. 3, Paper No. 35, 23 p. (2018; Zbl 1428.33028) Full Text: DOI arXiv
Frechette, Sharon; Swisher, Holly; Tu, Fang-Ting A cubic transformation formula for Appell-Lauricella hypergeometric functions over finite fields. (English) Zbl 1462.33011 Res. Number Theory 4, No. 2, Paper No. 27, 27 p. (2018). Reviewer: C. L. Parihar (Indore) MSC: 33E50 33C05 33C70 PDFBibTeX XMLCite \textit{S. Frechette} et al., Res. Number Theory 4, No. 2, Paper No. 27, 27 p. (2018; Zbl 1462.33011) Full Text: DOI arXiv
Asakura, Masanori Regulators of \(K_2\) of hypergeometric fibrations. (English) Zbl 1468.14018 Res. Number Theory 4, No. 2, Paper No. 22, 25 p. (2018). MSC: 14D07 19F27 33C20 11G15 14K22 PDFBibTeX XMLCite \textit{M. Asakura}, Res. Number Theory 4, No. 2, Paper No. 22, 25 p. (2018; Zbl 1468.14018) Full Text: DOI arXiv
Alwaise, Ethan An algorithm for numerically inverting the modular \(j\)-function. (English) Zbl 1441.11080 Res. Number Theory 4, No. 2, Paper No. 20, 6 p. (2018). MSC: 11F03 11F37 11F22 PDFBibTeX XMLCite \textit{E. Alwaise}, Res. Number Theory 4, No. 2, Paper No. 20, 6 p. (2018; Zbl 1441.11080) Full Text: DOI arXiv
Kalita, Gautam; Chetry, Arjun Singh Congruences for generalized Apéry numbers and Gaussian hypergeometric series. (English) Zbl 1358.11013 Res. Number Theory 3, Paper No. 5, 15 p. (2017). MSC: 11A07 33C20 12E20 PDFBibTeX XMLCite \textit{G. Kalita} and \textit{A. S. Chetry}, Res. Number Theory 3, Paper No. 5, 15 p. (2017; Zbl 1358.11013) Full Text: DOI
Zudilin, Wadim On the irrationality of generalized \(q\)-logarithm. (English) Zbl 1415.11099 Res. Number Theory 2, Paper No. 15, 10 p. (2016). MSC: 11J72 11C20 33D15 41A20 PDFBibTeX XMLCite \textit{W. Zudilin}, Res. Number Theory 2, Paper No. 15, 10 p. (2016; Zbl 1415.11099) Full Text: DOI arXiv
Chan, Song Heng; Mao, Renrong; Osburn, Robert On recursions for coefficients of mock theta functions. (English) Zbl 1331.33034 Res. Number Theory 1, Paper No. 29, 18 p. (2015). MSC: 33D15 11F30 PDFBibTeX XMLCite \textit{S. H. Chan} et al., Res. Number Theory 1, Paper No. 29, 18 p. (2015; Zbl 1331.33034) Full Text: DOI arXiv